An Introduction to Mathematics for Economics by Akihito Asano – A Practical Textbook for Economics and Finance Students

Introduction

For students of economics and finance in India, a solid grasp of mathematical methods is no longer optional—it is essential. Akihito Asano’s An Introduction to Mathematics for Economics, published by Cambridge University Press, offers a clear and practical pathway to mastering the quantitative tools that underpin modern economic theory. Whether you are an undergraduate just beginning your journey or a postgraduate student seeking to refresh your fundamentals, this hardbound edition provides a reliable companion for classroom learning and self-study alike.

Book Overview

This textbook is designed to bridge the gap between basic arithmetic and the more advanced mathematics required for economic analysis. It begins with a thorough revision of core mathematical principles before moving into calculus, matrix algebra, and differential equations—always with an eye on real-world economic applications. The author’s teaching philosophy centres on showing students why mathematics matters for economics before teaching how to apply it. Each concept is introduced through economic or financial examples, ensuring that readers never lose sight of the subject’s relevance.

Key Highlights

• Application-first approach: Economic and financial contexts are presented before the mathematics, helping students see the purpose behind each technique.
• Comprehensive coverage: From basic algebra and functions to multivariable calculus, optimisation, and dynamic analysis—all tailored for economics students.
• Worked examples and exercises: Hundreds of step-by-step solved problems and practice questions reinforce understanding and build confidence.
• Appendices for advanced learners: Separate sections on matrix algebra and difference/differential equations support students who wish to go deeper.
• Indian context friendly: While the content is global, the clear exposition and structured progression suit the Indian academic curriculum, especially for B.A. (Hons) Economics, B.Com, and MBA programmes.

Inside the Book

The book is organised into two main parts. Part I revises foundational topics: numbers, algebraic expressions, equations, inequalities, functions, and graphs. Part II introduces calculus—limits, differentiation, integration, and optimisation—with continuous economic illustrations. Later chapters cover partial derivatives, constrained optimisation, and integral calculus. The appendices provide a concise reference for linear algebra and dynamic models, making the book a complete resource for a one- or two-semester course.

Key Topics

• Basic mathematical tools: exponents, logarithms, and polynomial functions
• Linear and non-linear equations in economic models
• Functions of one and several variables
• Differentiation and its applications to marginal analysis, elasticity, and optimisation
• Integration: consumer and producer surplus, present value
• Matrix algebra for input-output analysis and linear systems
• Difference and differential equations for dynamic economic models

Reader Benefits

• Builds mathematical confidence: Starts from the basics and progresses at a comfortable pace.
• Saves time: Combines revision material and advanced topics in one volume.
• Enhances exam performance: Numerous practice problems mirror typical university exam questions.
• Supports independent learning: Clear explanations allow students to study without constant teacher guidance.
• Physical hardcover durability: Ideal for daily reference and long-term use in libraries or personal collections.

Learning Outcomes

By the end of this book, readers will be able to: solve economic problems using algebraic and calculus-based methods; interpret marginal cost, revenue, and profit through derivatives; optimise functions subject to constraints; analyse dynamic systems using difference and differential equations; and apply matrix algebra to solve systems of linear equations in economic contexts. These skills form the mathematical backbone for further study in econometrics, microeconomics, macroeconomics, and financial theory.

Who Should Read

• Undergraduate economics students in Indian universities (BA, B.Sc., B.Com)
• MBA and PGDM candidates who need quantitative foundations for finance and economics courses
• Self-learners and competitive exam aspirants (e.g., UGC NET, Indian Economic Service)
• Teachers and tutors seeking a structured, example-rich textbook for classroom instruction

About the Author

Akihito Asano is a professor of economics with extensive teaching experience at leading universities. His research spans economic theory and mathematical methods, and he has designed this textbook based on years of observing where students struggle most. His writing style is patient, precise, and always focused on making mathematics accessible to learners who may not have a strong quantitative background.

About the Publisher

Cambridge University Press is one of the world’s oldest and most respected academic publishers. Known for rigorous peer review and high editorial standards, Cambridge textbooks are trusted by educators across India for their accuracy, clarity, and pedagogical value. This hardcover edition reflects the Press’s commitment to producing durable, long-lasting academic resources.

Conclusion

An Introduction to Mathematics for Economics is more than a textbook—it is a bridge to deeper economic understanding. For Indian students who often face the challenge of learning mathematics in isolation from its applications, Asano’s approach is a welcome remedy. With its logical flow, abundant examples, and focus on economic relevance, this book deserves a place on every economics student’s shelf. Order your copy from Bookshops.in today and take the first step toward mathematical mastery in economics.